What is the Greatest Common Factor of 44002 and 44016?

Greatest common factor (GCF) of 44002 and 44016 is 14.

GCF(44002,44016) = 14

We will now calculate the prime factors of 44002 and 44016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44002 and 44016.

How to find the GCF of 44002 and 44016?

We will first find the prime factorization of 44002 and 44016. After we will calculate the factors of 44002 and 44016 and find the biggest common factor number .

Step-1: Prime Factorization of 44002

Prime factors of 44002 are 2, 7, 449. Prime factorization of 44002 in exponential form is:

44002 = 2¹ × 7² × 449¹

Step-2: Prime Factorization of 44016

Prime factors of 44016 are 2, 3, 7, 131. Prime factorization of 44016 in exponential form is:

44016 = 2⁴ × 3¹ × 7¹ × 131¹

Step-3: Factors of 44002

List of positive integer factors of 44002 that divides 44002 without a remainder.

1, 2, 7, 14, 49, 98, 449, 898, 3143, 6286, 22001

Step-4: Factors of 44016

List of positive integer factors of 44016 that divides 44002 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 131, 168, 262, 336, 393, 524, 786, 917, 1048, 1572, 1834, 2096, 2751, 3144, 3668, 5502, 6288, 7336, 11004, 14672, 22008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44002 and 44016. The biggest common factor number is the GCF number.
So the greatest common factor 44002 and 44016 is 14.

Also check out the Least Common Multiple of 44002 and 44016